Answer:
6
Step-by-step explanation:
At 6 hours they both charge $42
A recipe for pancake batter uses 2 cups of flour and makes 10 small pancakes. How many cups of flour are needed to make batter for 25 small pancakes?
Answer: 4.5 cups
Step-by-step explanation:
2:10
4:20
half of a cup would be 5 pancakes
so, 4.5 cups of flour will make 25 pancakes.
Grinnell Glacier in Glacier National Park in the US covered about 142 acres in 2007 and was shrinking at a rate of about 4.4% per year.3 (a) Write a formula for the size, , of the Grinnell Glacier, in acres, as a function of years since 2007. (b) Use the model to predict the size of the glacier in the year 2020. (c) According to the model, how many acres of ice were lost from the glacier between 2007 and 2010
Answer:
Step-by-step explanation:
Glacier National park has the area in year 2007 = 142 acres
It's shrinking at a rate = 4.4% per year
a). Since, shrink in the size of the glacier is an exponential process,
Therefore, formula for the size of the glacier in 'n' years,
A = 142(1 - 0.044)ⁿ
A = 142(0.956)ⁿ
b). Difference between year 2007 and 2020 = 13 years
By substituting n = 13 years in the formula,
A = 142(0.956)¹³
= 79.11 acres
Therefore, size of the glacier in year 2020 = 79.11 acres
c). Difference between year 2007 and 2010 = 3 years
By substituting n = 3 years in the formula,
A = 142(0.956)³
A = 124.07 acres
Loss of the ice from the glacier = 142 - 124.07
= 17.93 acres
Therefore, loss of the ice from the glacier in 3 years = 17.93 acres
Refer to the diagram shown.
35°
25
t
DE
M
4
N
R
6
Q
What is m 2 MNT?
m2 MNT =
Answer:
what subject?
Step-by-step explanation:
The measure of <MNT = 142.17
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
PR= 6+ 4= 10 unit
So, using trigonometry
tan 25 = PT/ PR
0.466 = PT / 10
PT= 4.66 unit
Now, In ΔNPT
tan <TNP = P/ B
tan <TNP = 4.66/6
tan <TNP = 0.7766
<TNP = 37.83
Now, <MNT + <TNP = 180 {Linear pair}
<MNT = 142.17
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Given the linear equation Ax+By=8,it's x intercept is (8,0) and y-intercept is (0,8). What are the values of a and b
Answer:
A=1, B=1
Step-by-step explanation:
Equation of the line in intercept form
The intercept form of the equation of a line is:
[tex]\displaystyle \frac{x}{h}+\frac{y}{k}=1[/tex]
Where:
h = x-intercept
k = y-intercept
We are given the y-intercept (0,8) and x-intercept (8,0), thus the equation is:
[tex]\displaystyle \frac{x}{8}+\frac{y}{8}=1[/tex]
Multiplying by 8:
x + y = 8
Thus, the values of A and B are:
A=1, B=1
Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. (Enter your answer using interval notation. Round your answers to three decimal places.) 4 1 + 2x ≈ 1 + 1 2 x
Answer:
x ∈ [-0.369, 0.678]
Step-by-step explanation:
To prove - [tex]\sqrt[4]{1 + 2x}[/tex] ≈ 1 + [tex]\frac{1}{2}[/tex] x
As given , f(x) = [tex]\sqrt[4]{1 + 2x}[/tex]
As we know that the linear approximation can be defined as :
L(x) = f(a) + f'(a)(x-a) .........(1)
Now,
We have to show that at a = 0 , equation (1) satisfies
Now,
f(0) = [tex]\sqrt[4]{1 + 0}[/tex] = 1
Also,
f'(x) =
[tex]\frac{d}{dx} (\sqrt[4]{1 + 2x} ) = \frac{1}{4}(1 + 2x)^{\frac{1}{4} - 1}\frac{d}{dx}(1 + 2x) ) \\ = \frac{1}{4}(1 + 2x)^{\frac{-3}{4} } (2)\\ = \frac{1}{2}(1 + 2x)^{\frac{-3}{4} }\\[/tex]
∴ we get
f'(x) = [tex]\frac{1}{2}(1 + 2x)^{-\frac{3}{4} }[/tex]
⇒f'(0) = [tex]\frac{1}{2}[/tex]
Now, equation (1) becomes
L(x) = f(0) + f'(0)(x-0)
= 1 + [tex]\frac{1}{2}[/tex] (x)
⇒ [tex]\sqrt[4]{1 + 2x}[/tex] ≈ 1 + [tex]\frac{1}{2}[/tex] x
Hence verified.
Now,
|[tex]\sqrt[4]{1 + 2x}[/tex] - (1 + [tex]\frac{1}{2}[/tex] x ) | ≤ 0.1
⇒ -0.36893 ≤ x ≤ 0.67766
⇒x ∈ [-0.369, 0.678]
Anumeha knows the following information about a set of 20 numbers: 9 numbers are a multiple of 3 but not a multiple of 4. 10 numbers in total are a multiple of 3. 10 numbers in total are a multiple of 4. Can you help Anumeha organize the results into a two-way frequency table?
What is the slope-intercept equation for the following line? I need help answering
Answer:
y = -4x - 3
Step-by-step explanation:
The b in the slope-intercept equation represents the y-intercept.
The line crosses the y-axis at (0,-3). Therefore, b = -3.
Since the line is decreasing from left to right, the slope will be negative.
From (0,-3) to the next point on the line is down 4 units and to the right 1 unit.
The slope will be -4/1 or -4.
Therefore, the equation of the line will be y = -4x - 3.
Hope that helps.
The volume of a cylinder is found using the formulaV = pi r^2. If the height is doubled, then the volume is:
increased by 2
increased by 4
two times larger
4 times larger
Answer:
the volume will be doubled if the height is doubled
hope it helps you
What is an angle that is complementary to DGE?
(Please hell I’ll reward)
Answer:
<CGD
Step-by-step explanation:
Since m<CGB = right angle = 90°, therefore:
m<CGE = 90° (linear pair angles)
Complementary angles add up to 90°.
Thus, m<CGD + m<DGE = m<CGE = 90°.
Therefore, the angle that is complementary to <DGE is <CGD
10 points Find the missing angle.
Answer: 63
Step-by-step explanation:
Add the two numbers you have then subtract from 180 because a triangle is 180 degrees
Jim has two cardboard boxes . Each box has a width of 5 feet and a height of 3 feet . If one box has a length of 2 feet and the other has a length of 4 feet , what is the total volume of both boxes ?
Answer:
box 1 =30 box 2= 60
Step-by-step explanation:
box 1 = 5 times 3 times 2 = 30
box2 = 5 times 3 times 4 = 60
Answer:
30 + 60=90 or 90 Cubic feet
Step-by-step explanation:
Box 1:
V= (3)(5)(2)
V= 30
Box 2:
V= (3)(5)(4)
V= 60
Find the value of each variable for y and z
Answer:
y = 102° , z = 75°
Step-by-step explanation:
Assuming this is geometry, you must find the value of 'z' first.
Using the [Supplementary Angles Theorem] for 'z' :
105° + z = 180°
Solve for z.
z = 75°
You may also hear that those two angles are a 'Linear Pair'
Then using the formula for: [Sum of Internal Angles]
Which is: sum = (n-2) * 180° where 'n' is the number of sides
The total sum of internal angles of a quadrilateral is 360°
Now knowing 3 of the 4 interior angles, you can just do arithmetic:
99° + 84° + 75° + y = 360°
Simplify:
258° + y = 360°
Therefore:
y = 102°
can someone help me?
Step-by-step explanation:
the answer would be
4
2
1
3
5
What is the line of symnmetry for the function y = x2 – 2x + 6
Answer:
Replace x with −x and y with −y
to check if there is the x-axis, y-axis, or origin symmetry.
Not symmetric to the x-axis
Not symmetric to the y-axis
Not symmetric to the origin
but
Find the axis of symmetry-
x=1
Step-by-step explanation:
can someone help me please
Answer:
y-intercept = 1
Slope = 4
Step-by-step explanation:
First, we know that the point-slope equation of a line is given as y = mx + b. Where,
m is the slope, and
b is the y-intercept.
Now let's use this knowledge to solve the given problem.
✔️y-intercept of the equation, y = -2x + 1, would be what? What does b (y-intercept) represented by in the equation?
Our answer is "1".
y-intercept = 1
✔️Slope of y = 4x - 3:
The slope (m) in this equation is 4.
kirana buys boxes of crackers that each has the same cost x. she represents the cost of 3 boxes of cheese crackers, 5 boxes of poppy seed crackers, and 4 boxes of plain crackers using the expression 3x+5x+4x. What equivalent expression can represent the cost.
A. 3•5•4•x
B. 10x
C. 12x
Answer:
c. 12x
Step-by-step explanation:
Please help with this please
Answer:
19. w * 32
20. p / 41
Step-by-step explanation:
Product is multiplication, divided by is division.
Make sure you pay attention to what the problem says, because multiplication terms can be moved around, but division has to go a certain way.
p / 41
is not the same as
41 / p
however
w * 32
is the same thing as
32 * w
I really need help thanks
Distance around an unmarked circle can be measured (always, sometimes, never)
Answer:
never
Step-by-step explanation:
:))
Answer:
i think answer is never
Step-by-step explanation:
never
A xbox is marked down $75. If this is a 15% decrease, find the sale price?
9514 1404 393
Answer:
$425
Step-by-step explanation:
After the decrease, the sale price is 100% -15% = 85% of the original price. Of course, the markdown is 15% of the original price. Then the ratio of sale price to markdown is ...
(sale price)/(markdown) = (85%)/(15%)
sale price = markdown × 85/15 . . . . . multiply by markdown
sale price = $75 × 85/15 = $425
The sale price of the x-box is $425.
Select the correct answer.
Which equation, when solved, gives 8 for the value of x?
7
3
O A. x += *x+14
OB. 85-9=31-12
Oct-2=2x-4
OD. 3*-7= 4x+14
Answer:
Answer:
B
Step-by-step explanation:
Find the value of x.
a.17
b.12
c.40
d.18
e.none are correct
Answer:
b.12
Step-by-step explanation:
Key skills needed: Interior Angle Measure Theorem, Equation Creation
1) First, we need to classify this shape. It has 7 sides, which means that we can use the Interior angle Theorem to find out the sum of all the interior angle measures
The theorem is: [tex]S = (n - 2)180[/tex]
S is the sum of all interior angle measures
n is the number of sides of the polygon
2) With this, we can plug in 7 for "n" (Since the figure has 7 sides) and get:
---> [tex]S = (7-2)180[/tex]
---> (7-2) is 5 since 7 - 2 = 5 so --> [tex]S = 5(180)[/tex]
---> 5(180) is the same as 5 x 180 which is 900 so --> [tex]S = 900[/tex]
This means that the sum of all interior angles is 900 degrees.
3) Now, we have to find out the sum of all the angles that they gave us so:
---> [tex]10x + 10x + 9 + 133 + 9x + 14 + 12x - 9 + 10x + 5 + 136 = 900[/tex]
The left side is the sum of all interior angles in the shape, and the right side is what the sum should be when expressed as a number.
4) We have to combine all like terms on the left side:
---> [tex]10x + 10x + 9x + 12x + 10x = 51x[/tex]
---> [tex]9 + 133 + 14 -9+5+136 = 288[/tex]
5) This means that ---> [tex]51x + 288 = 900[/tex]
Subtract 288 from both sides and get:
---> [tex]51x = 612[/tex] (900-288 = 612)
Then divide by 51 from both sides and get:
---> [tex]x = 12[/tex] (612 ÷ 51 = 12)
Therefore b.12 is your answer.
Hope you understood and have a nice day!! :D
James throw a ball from the root of a building. The ball fell 3 feet in the first second, 9 feet in the next second, and 27 feet in the third second. Which expression represents the distance the ball fell at the nth second?
Why are they called congruence transformations?
Answer:
That is, two objects are congruent if we can move one of the objects, without changing its shape or size, in such a way that it fits exactly over the other image, and we call these movements congruence transformations.
What is half of 9 minutes and 28 seconds
One minute contains 60 seconds. The half of 9 minutes and 28 seconds in time is 4 minutes and 44 seconds.
How are minutes and seconds related?A minute can be expressed in terms of seconds by the relation:
[tex]1 \: \rm min. = 60 \: \rm sec.[/tex]
9 minutes = [tex]9 \times 60 = 540 \: \rm sec.[/tex]
Thus, 9 mintues and 28 seconds = 540 + 28 = 568 seconds.
Its half would be:
[tex]\dfrac{568}{2} = 284 \: \rm sec.[/tex]
Dividing it by 60 to convert it back to minute and second form, we get:
Quotient = 4, remainder = 44
The remainder is still not divided by 60, so its in minutes.
But the quotient is the divided part of 284 by 60, so its in minutes.
Thus, 284 seconds = 4 mintues + 44 seconds.
Thus, the half of 9 minutes and 28 seconds in time is 4 minutes and 44 seconds.
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City officials estimate that 46 percent of all city residents are in favor of building a new city park. A random sample of 150 city residents will be selected. Suppose that 51 percent of the sample are in favor of building a new city park. Which of the following is true about the sampling distribution of the sample proportion for samples of size 150?
Answer:
D
Step-by-step explanation:
The distribution is approximately normal, and the mean is 0.46.
It costs $237.00 to buy beef to make 290 meatballs. What will the cost be to make 120 meatballs?
Answer:
$98.07
Step-by-step explanation:
Divide 237 by 290 to get the unit price of each meatball
237 / 290 = 0.8172413793
Multiply 0.8172413793 by 120 to get the total cost to make the meatballs
0.8172413793 * 120 = 98.068965516
Round that number to the nearest hundredth
Answer: $98.07
Which equation represents the line passing through the points (-2,4) and
(2,8)?
A. y = -x + 2
B. y = -x + 6
C. y = x +4
D.y = x + 6
Answer:
D
Step-by-step explanation:
plug in both values into the equations, and whichever one works for both is the right answer
the required equation is, D. y= x+6
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
Here, we have to points (-2,4) and, (2,8)
So, by using the formula of equation of straight line of two-point form, we get,
(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )
=>(y-4)/(x+2)=(8-4)/(2+2)
=>y-4=x+2
=>y=x+6
Hence, the required equation is, D. y= x+6
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A mathematical phrase represented by numbers, variables, and operations is a(n)
A. expression.
B. equation.
C. substitution.
D. exponent.
Answer: A
Step-by-step explanation:
Algebraic (or numeric) expression (also referred to as phrase) A mathematical expression (numeric/algebraic) is one or a group of mathematical symbols representing a number or quantity. It may include numbers, variables, constants, operators, and grouping symbols. One side of an equation is also an expression.
Answer:
The other person is correct
Step-by-step explanation:
i got a 100
Up all the road 6 meters in 12 seconds. What is the speed?
Step-by-step explanation:
speed = distance/time
= 6/12 m/s
= 0.5 m/s
Answer:
0.5m/s
Step-by-step explanation:
Formula for speed is distance /time taken
which is 6m/12s,which Is then equal to0.5m/s